Noncommutative differential calculi and the unifying zero curvature representation of integrable systems
Mathematical Physics
2014-12-02 v1 math.MP
Abstract
Derivation-based differential calculi are of great importance in noncommutative geometry, noncommutative gauge theory and integrable systems. In this paper, we propose the connection and curvature from a class of deformed derivation-based differential calculus. By means of this theory, we give out the zero-curvature representation of the continuum-continuum, discrete-continuum and discrete-discrete integrable systems in an unifying manner.
Keywords
Cite
@article{arxiv.1412.0374,
title = {Noncommutative differential calculi and the unifying zero curvature representation of integrable systems},
author = {Yongqiang Bai and Ming Pei and Huijuan Fu},
journal= {arXiv preprint arXiv:1412.0374},
year = {2014}
}